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Nonstandard Analysis Axiomatically 1st Edition Vladimir Kanovei

SKU: BELL-2114574

$ 31.00 ~~$ 45.00~~ (-31%)

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Nonstandard Analysis Axiomatically 1st Edition Vladimir Kanovei instant download after payment.

Publisher: Springer

File Extension: PDF

File size: 6.64 MB

Pages: 427

Author: Vladimir Kanovei, Michael Reeken

ISBN: 9783540222439, 354022243X

Language: English

Year: 2004

Edition: 1

Product desciption

Nonstandard Analysis Axiomatically 1st Edition Vladimir Kanovei by Vladimir Kanovei, Michael Reeken 9783540222439, 354022243X instant download after payment.

The book is devoted to nonstandard set theories that serve as foundational basis for nonstandard mathematics. Several popular and some less known nonstandard theories are considered, including internal set theory IST, Hrbacek set theory HST, and others. The book presents the basic structure of the set universe of these theories and methods to effectively develop "applied" nonstandard analysis, metamathematical properties and interrelations of these nonstandard theories between each other and with ZFC and some variants of ZFC, foundational problems of the theories, including the problem of external sets and the Power Set problem, and methods of their solution. The book is oriented towards a reader having some experience in foundations (set theory, model theory) and in nonstandard analysis.